Systems and methods for a wireless station supporting wireless communications with an associated wireless access point (WAP) on a wireless local area network (WLAN) where the wireless station can include hardware processing circuitry to perform hybrid spatial mapping feedback operations for multi-user (MU) multiple-input multiple-output (MIMO) downlinks from the WAP to a group of associated stations. An exemplary implementation includes a channel estimation circuit to determine a communication channel responsive to an explicit sounding from the WAP, and to transmit channel sounding feedback to the WAP indicating the determined communication channel; and a crosstalk tracking circuit to determine an amount of crosstalk from portions of a downlink MU-MIMO communication packet targeted for other stations in the group of associated stations, and to transmit crosstalk feedback to the WAP as to the determined amount of crosstalk.
[Q1. . . QNu]→[{tilde over (Q)}1. . . {tilde over (Q)}Nu]+ε[ΔQ1. . . ΔQNu]??(10)
If this change of precoding matrix is applied to the changed channel, we get: